Consider an ideal inverting op-amp with \(R_{2}=100 \mathrm{k} \Omega\) and \(R_{1}=10 \mathrm{k} \Omega\).

(a) Determine the ideal voltage gain and input resistance \(R_{i}\).

(b) Repeat part (a) for a second \(100 \mathrm{k} \Omega\) resistor connected in parallel with \(R_{2}\).

(c) Repeat part (a) for a second \(10 \mathrm{k} \Omega\) resistance connected in series with \(R_{1}\).